Quantum anti-centrifugal force
摘要
In a two-dimensional world a free quantum particle of vanishing angular momentum experiences an attractive force. This force originates from a modification of the classical centrifugal force due to the wave nature of the particle. For positive energies the quantum anti-centrifugal force manifests itself in a bunching of the nodes of the energy wave functions towards the origin. For negative energies this force is sufficient to create a bound state in a two-dimensional delta function potential. In a counter-intuitive way the attractive force pushes the particle away from the location of the delta function potential. As a consequence, the particle is localized in a band-shaped domain around the origin
引用
@article{arxiv.quant-ph/0108069,
title = {Quantum anti-centrifugal force},
author = {M. A. Cirone and K. Rzazewski and W. P. Schleich and F. Straub and J. A. Wheeler},
journal= {arXiv preprint arXiv:quant-ph/0108069},
year = {2015}
}
备注
8 pages, including three eps figures, submitted to Phys. Rev. A. Figures substituted